Eratosthenes noticed that the shadow’s length was 1/8 the pole’s height. Suppose the pole’s height was ℎ = 2 and the shadow’s length was , = 0.25 . Calculate the angle between the Sun’s ray and the pole’s axis in degrees: - = XXXXXXXXXX . Express the same angle in radians: - = XXXXXXXXXX .
Eratosthenes noticed that the shadow’s length was 1/8 the pole’s height. Suppose the
pole’s height was ℎ = 2 and the shadow’s length was , = 0.25 . Calculate the angle
between the Sun’s ray and the pole’s axis in degrees: - = XXXXXXXXXX . Express
the same angle in radians: - = XXXXXXXXXX .
1.7. Recall the beam of light travelling down the well in Syene. Extend that beam to the
center of Earth. Also extend the pole’s axis to the center of Earth. These two extensions
are represented by dashed lines in Figure 1. The intersection of these two lines forms
an angle . at the Earth’s center. Use basic geometry to find the relation between
. and -. Calculate the angle . in radians: . = XXXXXXXXXX .
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